Given:
The system of inequalities is given as
![\begin{gathered} y\leq(2)/(3)x-4 \\ y\ge-4x+1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/v1mvhnd2tp73wwxmlumcftbmzmb8hzgd8o.png)
Find:
we have to find the point which satisfies the given system of inequalities.
Step-by-step explanation:
for x = 3
![\begin{gathered} y\leq-2 \\ y\ge-11 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/nebkkyl7mv2nwi0zfjfy93qc6xzwqcqqfj.png)
Therefore, point (3,-2) is the correct option, as it satisfies the given system of inequalities.
all other points do not satisfy the given s